Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions

The sides of a right triangle whose hypotenuse is 17 cm are ______ and ______.

The least number by which 72 be multiplied to make it a perfect cube is ______.

The least number by which 72 be divided to make it a perfect cube is ______.

The sum of two perfect squares is a perfect square.

Each prime factor appears 3 times in its cube.

For every natural number m, (2m – 1, 2m² – 2m, 2m² – 2m + 1) is a pythagorean triplet.

All numbers of a pythagorean triplet are odd.

If x and y are integers such that x² > y², then x³ > y³.

Using prime factorisation, find which of the following are perfect cubes.

128

Using prime factorisation, find which of the following are perfect cubes.

343

Using prime factorisation, find which of the following are perfect cubes.

729

Using prime factorisation, find which of the following are perfect cubes.

1331

Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

Write the Pythagorean triplet whose one of the numbers is 4.

Using prime factorisation, find the cube roots of 512

Using prime factorisation, find the cube roots of 2197

Write two Pythagorean triplets each having one of the numbers as 5.

By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.

Find the length of the side of a square if the length of its diagonal is 10 cm.

The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.